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A solid, G is bounded in the first octant by the cylinder x² + z² = a², plane y = x, and y = 0. Express the triple integral dV in four different orientations in Cartesian coordinates dzdydx, dzdxdy, dydzdx, and dydxdz. Choose one of the orientations to evaluate the integral. Choose a as the last digit of your student's matrix number. Find the volume of a curved wedge which is cut out from a cylinder (x − 3)² + y² = 9 by the plane z = 0 and z = y.

A solid, G is bounded in the first octant by the cylinder x² + z² = a², plane y = x, and y = 0. Express the triple integral dV in four different orientations in Cartesian coordinates dzdydx, dzdxdy, dydzdx, and dydxdz. Choose one of the orientations to evaluate the integral. Choose a as the last digit of your student's matrix number. Find the volume of a curved wedge which is cut out from a cylinder (x − 3)² + y² = 9 by the plane z = 0 and z = y.

Advanced Engineering Mathematics
Advanced Engineering Mathematics
10th Edition
ISBN:9780470458365
Author:Erwin Kreyszig
Publisher:Erwin Kreyszig
Chapter2: Second-order Linear Odes
Section: Chapter Questions
Problem 1RQ
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Q2 (a) (b) A solid, G is bounded in the first octant by the cylinder x² + z² = a², plane y = x, and y = 0. Express the triple integral dV in four different orientations in Cartesian coordinates dzdydx, dzdxdy, dydzdx, and dydxdz. Choose one of the orientations to evaluate the integral. Choose a as the last digit of your student's matrix number. Find the volume of a curved wedge which is cut out from a cylinder (x − 3)² + y² = 9 by the plane z = 0 and z = y.
Transcribed Image Text:Q2 (a) (b) A solid, G is bounded in the first octant by the cylinder x² + z² = a², plane y = x, and y = 0. Express the triple integral dV in four different orientations in Cartesian coordinates dzdydx, dzdxdy, dydzdx, and dydxdz. Choose one of the orientations to evaluate the integral. Choose a as the last digit of your student's matrix number. Find the volume of a curved wedge which is cut out from a cylinder (x − 3)² + y² = 9 by the plane z = 0 and z = y.
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